Question

In the given figure, Op and OQ are opposite Ray's.
(a) If x=32°,what is the value of y?
(b) If y=24°,what is the value of x?​

Answer 1

Step-by-step explanation:

(a) angle POR + angle QOR = 180   (complementary angles)

    3x + 2y+24 = 180

    3(32) + 2y+24 = 180

    2y = 180-24-96

    2y = 60

      y = 60/2

      y = 30

(b) angle POR + angle QOR = 180   (complementary angles)

      3x + 2y+24 = 180

      3x + 2(24)+24 = 180

      3x = 180-24-48

      3x = 108

        x = 36

HOPE YOU UNDERSTOOD THE SOLUTION

Answer 2

Answer:

a. y=30°,b. x=36°

Step-by-step explanation:

a. L POR +L QOR =180°( linear pair)

(3x)+ (2y+24°) =180°

(3×32)+(2y+24)=180

96+2y+24 =180

2y+120 =180

2y =180-120=60

y =60/2=30°

b. 3x +2y+24 =180°(linear pair)

3x+2×24+24 =180

3x + 48+24 =180

3x+72 =180

3x =180-72=108

x =108/3=36°

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